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157415988 = 223172192389
BaseRepresentation
bin10010110000111…
…11101000110100
3101222012120010210
421120133220310
5310244302423
623341545420
73621004512
oct1130375064
9358176123
10157415988
1180947a64
1244875270
13267c7572
1416c994b2
15dc46b93
hex961fa34

157415988 has 72 divisors (see below), whose sum is σ = 410888800. Its totient is φ = 46766592.

The previous prime is 157415981. The next prime is 157416013. The reversal of 157415988 is 889514751.

It is a happy number.

157415988 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1574159882 = 49559586556032288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157415981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64698 + ... + 67086.

Almost surely, 2157415988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157415988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205444400).

157415988 is an abundant number, since it is smaller than the sum of its proper divisors (253472812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157415988 is a wasteful number, since it uses less digits than its factorization.

157415988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2430 counting only the distinct ones).

The product of its digits is 403200, while the sum is 48.

The square root of 157415988 is about 12546.5528333483. The cubic root of 157415988 is about 539.9451110190.

The spelling of 157415988 in words is "one hundred fifty-seven million, four hundred fifteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 289 323 578 646 867 969 1156 1292 1734 1938 2389 3468 3876 4778 5491 7167 9556 10982 14334 16473 21964 28668 32946 40613 45391 65892 81226 90782 121839 136173 162452 181564 243678 272346 487356 544692 690421 771647 1380842 1543294 2071263 2314941 2761684 3086588 4142526 4629882 8285052 9259764 13117999 26235998 39353997 52471996 78707994 157415988